অনার্স ৩য় বর্ষের ব্যবসায় পরিসংখ্যান সাজেশন 2024
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ব্যবসায় পরিসংখ্যান অনার্স ৩য় বর্ষ সাজেশন 2024
1. What is business statistics?
Or, What is meant by business statistics?
Ans. A science assisting us to make, business decision under uncertainties based on some numerical and measurable scale is known as business statistics.
2. What is event?
Ans. One or more of the possible outcomes of doing something, or one of the possible outcomes from conducting an experiment are termed as events.
3. What is joint probability?
Ans. The Probability of two events occurring together or in succession is joint probability.
4. What is discreate random variable?
Ans. A variable that is allowed to take on only integer values.
5. What is random variable?
Ans. A variable that is allowed to take on any value with in a given range is called random variable.
6. What is the probability distribution?
Ans. A Probability distribation is a statistical function that describes all the possible values and likelihoods that a random variable can take witan a given ranghi.
7. What is sample?
Ans. Sample is a portion of the elements of a population which is selected for direct measurement.
8. What is population?
Ans. A population is the collection of all possible objects having certain and same characteristic under a study.
9. Define degree of freedom?
Ans. The number of unrestricted chances for variation in the measurement being made is called degree of freedom.
10. What do you mean by census?
Ans. The measurement or examination of every element in the population is called census.
11. What is meant by sample survey?
Ans. A technique of selecting a part of the population and collecting information from the selected individuals is known as sample survey.
12. What is parameters?
Or, Define Parameter.
Ans: Characteristic or measure obtained from a population is called parameter.
13. What is meant by type 1 error?
Ans. Type 1 error is the rejecting a null hypothesis when it is true.
14. What is test of hypothesis?
Ans. A statistical procedure that is used to provide evidence in favour of same statement is called test of hypothesis.
15. What is the critical value?
Ans. The value of the standard statistic (z or t) beyond which we reject the null hypothesis; the boundary between the acceptance and rejection regions.
16. What is degree of freedom?
Ans. The number of independent observed values depending on wohich statistic are counted is called degree of freedom.
17. What is rejection region?
Ans. Rejection region is Set of all values which would cause us to reject Ho.
18. What is sampling error?
Ans. Difference which occers when between the sample statistic and he population parameter due to the fact that the sample is not a perfect representation of the population.
19. What is small sample?
Ans. If the sample units in a population are less than 30<n<30 then the sample is called small sample.
20. What is dependent variable?
Ans. Dependent variable is the variable we are tiring to predict in regression analysis.
21. What is meant by r= + 1, r=-1 and r=0?
Ans. The value of r = + 1, Means the perfect positive correlation. The value of r = -1, Means the perfect negative correlation.
The value of r = 0 Means the zero (0) correlation.
22. What is meant by multiple regression?
Ans: The statistical process by which more then two variables are used to predct another variable.
23. Define slope.
Ans: A constant for any given straight line whose value represents how much each unit change of the independent variable changes the dependent variable is called slope.
24. What is correlation Analysis?
Ans. A technique to determine the degree to which variables are linearly related is referred to correcation analysis.
25. What is Test statistic?
Ans. The Test statistics sample statistics used to decide whether to reject or fail to reject the null hypothesis.
26. What is chi-square test?
Ans. The chi-square test is one of the simplest and most widely used non-para-metric tests in statistical work.
27. What is F-distribution?
Ans. F-distribution is a statistical technique that is used to test the equality of population means.
28. What is Partial correlation?
Ans. Partial correlation is the measure of Association Between two variables, while controlling or adjusting the effect of one or more additional variable.
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ব্যবসায় পরিসংখ্যান অনার্স ৩য় বর্ষ সুপার সাজেশন PDF Download 2024
A part
- What is data array
- Define primary data
- what is histogram
- what is frequency density
- what is business statistics
- what is data
- who invented the stem and leaf display
- what is central tendency
- what is mode
- what is stem leaf display
- when mode is ill defined
- what is median
- what is the empirical relationship among arithmetic mean median and mode
- what is five numbers summary
- Define skewness
- which index number has no upward and downward tendency
- what is probability
- Define random variable
- when is meant by type II error
- Define sampling
- what is sampling error
- what is null hypothesis
- what is critical value
- what is dependent variable
- what is scatter
- write down the components of time series
- what is time series
- which index number is the ideal index number.
- what is value of index number
PDF Download ব্যবসায় পরিসংখ্যান অনার্স ৩য় বর্ষ সুপার সাজেশন 2024
খ-বিভাগ: সংক্ষিপ্ত প্রশ্ন
1. Explain the concept of conditional probability.
2. Write down the difference between a priori and posterior of probability?
3. Different between population and sample.
4. Distinguish between sampling and non-sampling error.
5. Discuss the procedure of testing hypothesis.
6. Distinguish between z-test and t-test.
7. What are the assmumption of ANOVA?
8. Discuss the model of multiple Regression equations.
9. 4 cards are drawn from a pack of 52 cards without replacement. Find the probability of getting 3 aces.
10. The average percentage of failures in a certain examination is 40. What is the probability that out of a group of 6 candidates, at least 4 passed in the examination?
11. Find the probability of getting 3 heads tossing 5 coins.
12. A normal distribution has mean 21 and standard deviation 3. Find out probability that a random variable x is between 16 and 18.
13. The mean and standard deviation of a binomial distribution are 4 and √2 respectively. What is the value of n and p?
14. A audit officer has determined from prior experience the 60% of his clients customers respond to initial requests for confirmation, of their account balances. If a simple random sample of 25 customers is sent requests for confirmation. What is the probability that 50 percent or more will respond?
15. The mean length of life of a certain cutting tool is 41.5 hours with a standard deviation of 2.5 hours. What is the probability that a simple random sample of size 50 drawn from this population will have a mean between 40.5 hours and 42 hours?
16. A random sample of 160 people is taken and 120 were in fervor of liberalizing licensing regulations. Which 95% confidence, what proportion of all people are in fervor? (‘z’ value with 95% confidence for two-tailed test is 1.96)
17. A sample of 900 members is found to have a mean of 3.4 cm. Can it be reasonably regarded as a sample from a large population of mean 3.25 cm and standard deviation 2.61 cm? Also obtain 95% confidence limits of mean.
18. The average percentage of failures in a certain examination is 40. What is the probability that out of a group of 6 candidates, at least 4 passed in the examination?
19. A sample of 81 observations is false from a normal population. The sample maser is 40 and the sample standard deviation is 5. Determine the 95% confidence interval for the population mean.
গ-বিভাগ: রচনামূলক প্রশ্ন
1. What do you understand by estimation? In what sense, do you consider mation as procedure of decision-making?
2. Discuss about hypothesis testing about population correlation coefficient.
3. Show the Differences between one way ANOVA and two wat ANOVA.
4. What are the imitations and advantages of multiple Regression Analysis?
5. Explain the concept of multiple regression and try to find out an example in practical field where multiple regression analysis is likely to be helpful.
6. A manufacturing firm produces steel pipes in 3 plants with daily production volumes of 500, 1000 and 2000 units respectively. According to past experience, it is known that the fraction of defective output produced by three plants are respectively 0.005, 0.008, 0.010. If a pipe is selected from a day’s total production and found to be defective, find the probability that it came from the first plant.
7. A manufacturing company produces plastic pipes in 3 plants with daily production volumes 2,000, 1,000 and 500. Among their daily thousand production 10, 8 and 5 items are defective respectively. If a pipe is chosen a random and it found defective, find out-
i. From which plant for this defective pipe, the probability is highest?
ii. What is the probability that it came from the third plant?
8. A box contains 8 red, 3 blue and 9 green balls. If 3 balls are drawn at random, determine the probability that :
i. All 3 are red., ii. All 3 are blue., iii. At least 1 is blue., iv. 2 are red and 1 green., v. 1 of each color.
9. A telephone operator receives 3 telephone calls on average per minute from 10 a.m. to 12 a.m. Find the probability that is a certain minute of the given time interval of the day, the operator receives i. no calls; ii. at least two calls; iii. at least two calls.
10. The mean of a binomial distribution is 60 and standard deviation 6. Calculate n, p and q.
11. In a simple random sample of 600 men taken from a big city in which 400 are found to be smokers. In another simple random, sample of 900 men taken from another city in which 450 are found smokers. Do the data indicate that there is a significant difference in the habit of smoking in the two cities?
[ বি:দ্র: উত্তর দাতা: রাকিব হোসেন সজল ©সর্বস্বত্ব সংরক্ষিত (বাংলা নিউজ এক্সপ্রেস)]
part b
- what is bi variate frequency distribution
- Show the differences between primary and secondary data.
- Distinguish between skewness and kurtosis
- why standard deviation is considered to be the best measure
- state the addition and multiplication theorem of probability
- show the difference between population and sample
- Write down the significance of measuring correlation
- write is time significance of measuring correlation
- deciding between price index and cost of living index.
- Draw a pie- chart form the following data nu 2000.14.17
- construct a stem and leaf diagram form the following data nu 18
- The mean of 100 workers in a factory running in two shifts of 60 and 40 workers respectively is tk.38. the mean wage of 60 workers working in the morning —- nu 11
- The average marks of 39 students in a class is 50. —- nu 12
- In a moderately skewed frequency distribution the mean in tk 15and the median is tk 14.—- nu 13
- For a group of 20 items — nu18:
- 4 cards are down form a pack of 52 cards without —- nu 12
- a bag contains 7 red 12 white and 4 white green balls.—- nu 16
- The mean of a binomial distribution is 40 and standard —- nu 11
- The following data indicates the values of the variables x and y nu 11
- fit the trend values 3 years moving a average for the following data nu 14
Part C
- what are the method of collecting primary data
- write down the important characteristics of statistics
- Discuss the various methods of sampling
- Distinguish between absolute and relative measures of dispersion
- Define index number.which index number is called ideal why
- The following data represent the marks is business mathematics x and business statistics y of 15 students nu 11
- The mean of 200 was 50. later on it was found two — nu 12
- Form the following table — nu 18
- The average weekly wages and standard —nu 18
- Find out skewness of the following data— nu 18
- A telephone operator receives 3 telephone— nu 18
- In a simple random sample of 600 men– nu 12.16
- Following figures give the rainfall in inches— nu 15.16
- Fit a straight line trend by the method of least — nu 14
- Form the following data fit a trend line by the method of least -nu 16
- Compute Fisher’s index number the following — nu 14
- Form the following information — nu 16
- Calculate the cost of living index — nu 18
[ বি:দ্র: নমুনা উত্তর দাতা: রাকিব হোসেন সজল ©সর্বস্বত্ব সংরক্ষিত (বাংলা নিউজ এক্সপ্রেস)]
Part- A
[Answer any seven questions out of ten]
Marks- 1×7 = 7
- a) Write the definition of business statistics.
b) What is primary data?
c) Write the formula for finding angles of different categories in a pie chart.
d) Which type of scale should be used to measure obtained score and letter grade in a
course in an exam?
e) What is classification?
f) Which type of constants π and b in the equation: y = π + bx?
g) What do you mean by sample statistics?
h) Define population.
i) What is parameter?
j) Define continuous variable with examples.
Part- B[Answer any two questions out of four]What are the features of statistics? - What are the methods of collecting primary data?
- Discuss the different types of scale of measurement.
- Draw a pie chart from the following data:
Cost of materials Tk. 40000, Cost of labour Tk. 30000, Direct expenses of manufacture
Tk. 10000, Factory overhead expenses Tk. 15000, Miscellaneous expenses Tk. 5000.
Part- C
[Answer any one question out of three]
Marks- 10×1 = 10 - Write the different steps of constructing a grouped frequency distribution.
- Represent the following data by a Percent Bar Diagram:
Corporate Sector Profits (In Crores Taka)
2007-2008 2008-2009
Gross Profits 3100 3150
Profits before Tax 1600 1800
Profits after Tax 1350 1400
Retained Profits 900 1050 - The following data give the frequency distribution of weekly wages in Taka of 100
workers of a factory:
Weekly wages (in Taka) Number of Workers
110 – 115 10
115 – 120 19
120 – 125 27
125 – 130 15
130 – 140 12
140 – 160 14
160 – 190 10
Draw a histogram for the above distribution
[ বি:দ্র: নমুনা উত্তর দাতা: রাকিব হোসেন সজল ©সর্বস্বত্ব সংরক্ষিত (বাংলা নিউজ এক্সপ্রেস)]
ক- বিভাগ
Brif Questions & Solution.
1. what is Statistics?
Ans: Statistics is the science of decision making in the field of uncertainty.
2. who is the father of modern statistics?
Ans: R.A. Fisher.
3. what is the origin of the word Statistics?
Ans: the origin of the word Statistics in status or statistic.
4. what is Business Statistics?/ What is mean by Business Statistics?
Ans: Business Statistics is a science Assisting us to make business decision under uncertainties based on some numerical and measurable scale.
5. What is variable?
Ans: the characteristic which varies over the units is called variable.
6. what is data?
Ans: Data are the collection of row facts and figures from any sets of inquiry for the purpose from any sets of inquiry for the purpose of statistical analysis.
7. What is statistical data?
Ans: A collection of any number of related observation on one or more variables is called statistical data.
8. what are sources of data?
Ans: Data can be collected from three sources:
1. Primary Source.
2. Secondary Source
3. Internal Source.
9. Write the definition of continuous variable with examples.
Ans: A continuous variable is one that can take on any value within given range.
10. what is ogive curve?
Ans: Ogive is a graph of cumulative frequency distribution.
11. what is Stem and leaf diagram?
Ans: Stem and leaf Display is a statistical technique to present a set of data.
12. What is frequency polygon?
Ans: A frequency polygon expresses distribution of data by meab of a single line determined by the midpoints of classes.
13. what is pie chart?
Ans: A pie chart presents the data in the form of a circle.
চূড়ান্ত সাজেশন অনার্স ৩য় বর্ষের ব্যবসায় পরিসংখ্যান 2024
14. what is data?Ans: A collection of any number of related observations of none or more variables are called data.
15. what is raw data?Ans: Information before it is arranged or analyzed by statistical methods are raw data.
16. What is classification?Ans: classification is the process of arranging data as collected by proper investigation in some groups or class in relation with definite. characteristics grouping of related facts into classes.
17. what is bar diagram?Ans: Bar diagrams are the most common type of diagrams used in practice. A bar is a thick line whose width is shown merely for attention.
18. what is Scatter diagram?
Ans: A graph of points on a rectangular grid the X and Y coordinates of each point corresponded to the two measurements made on some particular sample element and the pattern of points illustrates the relationship between the two variables.
19. What is Sample?Ans: A collection of some but not all of the elements of the population under study used to describe the population.
20. What is data array?Ans: An organized display of data that shows the number of observations from the data set that falls into each of a set of mutually exclusive and collectively exhaustive classes is frequency distribution.
21. What is frequency density?Ans: frequency density is the percentage of observation fall within each class in respect of their class width.
22. what is population?Ans: A collection of all the elements we are studying and about which we are trying to draw exclusions.
23. what is central tendency?Ans: Central tendency is a typical value of a data set around which other figures congregate.
24.Define Quadrilles.Ans: the quadrilles that divide the data into 4 equal parts.
25. what is the relationship among AM, GM & HM?Ans: AM≥GM≥HM
26. What is Harmonic Mean.Ans: Harmonic mean is the ratio between the number of items and the sum of reciprocals of items.
27. What is Average ?Ans: Average is an attempt to find one single figure to describe whole of figures.
28. What is frequency Distribution?Ans: An organized display of data that shows the number of observations from the data set that falls info each of a set of mutually exclusive and collectively exhaustive classes.
29. What is Equal class interval?Ans: the distribution which with of the each class is equal is called equal class interval. for example 10-20 , 20-30, 30-40 and 50-60.
30. What is Stem and leaf display?Ans: one technique that is used to display quantitative information in a condensed form is the stem and leaf display.
31. What is Dispersion?Ans: the distance of different values from the central value is called dispersion.
32. What do you mean measures of dispersion.Ans: the measures of dispersion are called averages of second order.
33. How many types of measure of dispersion?Ans: Two types of measure of dispersion (1) Absolute measure (2) relative measure.
34. The difference between the first and third quartertile is called the?Ans: Inter Quartile range.
35. What is the range of 0, 2?Ans: Range = highest value- Lowest Value=0-2=-2
36. What is the mode of 4, 6, 8, 10, 6, and 12?Ans: 6
37. What is absolute measure?Ans: When dispersion is measured in original units then it is known as absolute measure of dispersion.
38. what is mean deviation?Ans: Mean deviation is the arithmetic mean of the deviation of series computed from any measures of central tendency.
39. find the mean if co-efficient of variance =15% and variance=4?Ans: we know cv=
2024 জাতীয় বিশ্ববিদ্যালয়ের এর 2024 অনার্স ৩য় বর্ষের ব্যবসায় পরিসংখ্যান পরীক্ষার সাজেশন, 2024 অনার্স তৃতীয় বর্ষ ব্যবসায় পরিসংখ্যান সাজেশন
40. mention the relationship among mean median and mode in case of positively skewed distribution.Ans: In case of positive skewed distribution the relationship among mean median and mode are X
41. what is Box plot?Ans: Box plot is the graphical presentation of five number summaries.
42. What is Random variable?Ans: Random variable is a variable whose values are determined by chance.
43. What is skewness ?Ans: SKewness is the degree of a symmetry or departure from symmetry of a distribution.
44. What is null hypothesis?Ans: The hypothesis about a population parameter we wish to test is called a null hypothesis.
45. What do you mean by Ans:
46. Define co-efficient of correlation.Ans: Co-efficient of correlation is the measure of the strength of the linear relationship between two variables.
47. What is mean by r=+1, r=-1 and r= 0?Ans: the value of r=+1, Means the prefect positive correlation. the value of r=-1, means called perfect negative correlation.the value of r = 0 means called zero correlation.
48. in case of unequal rank write the formula of rank correlation.Ans: Rank correlation 1-
49. what is regression line?Ans: A line fitted to set data points to estimate the relationship between two variables.
50. what is regression Analysis?Ans: Regression Analysis is a mathematical measure of the average relationship between two or more variables in terms of original units of the data.
51. what is dependent variables?Ans: The variables we are trying to predict in regression analysis is called dependent variable.
52. what is index number?Ans: index number may be defined as the ratio that measures how much a variable over time
53. How many types of index number?Ans: Index number are 3 kinds. (1) price index (2) quantity index (3) Variable index.
54. What is family budget method.Ans: Which the consumer price index is computed on the family budgets of large number of people, is called family budget method.
55. under what condition time reversal test and factor reversal test is satisfied?Ans: Time Reversal Test is satisfied when opn×npo=1
56. Write down the components of time series.Ans: The components of time series are (1) Trend (2) Seasonal variation (3) cyclical variation (4) Irregular variation.
57. What is meant by HO and HA?Ans: Ho Means null hypothesis Ha means Alternative Hypothesis.
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আজকের সাজেশান্স: অনার্স ৩য় বর্ষের ব্যবসায় পরিসংখ্যান স্পেশাল সাজেশন 2024,Honors Business Statistics In English Suggestion 2024
